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151136256 = 2113171447
BaseRepresentation
bin10010000001000…
…10100000000000
3101112101111222010
421000202200000
5302142330011
622555212520
73513431325
oct1100424000
9345344863
10151136256
11783489a7
1242747140
132540914b
1416102b4c
15d4061a6
hex9022800

151136256 has 96 divisors (see below), whose sum is σ = 426928320. Its totient is φ = 47382528.

The previous prime is 151136189. The next prime is 151136261. The reversal of 151136256 is 652631151.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 103725 + ... + 105171.

It is an arithmetic number, because the mean of its divisors is an integer number (4447170).

Almost surely, 2151136256 is an apocalyptic number.

151136256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151136256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213464160).

151136256 is an abundant number, since it is smaller than the sum of its proper divisors (275792064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151136256 is a wasteful number, since it uses less digits than its factorization.

151136256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1469 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 151136256 is about 12293.7486553126. The cubic root of 151136256 is about 532.6675247118.

The spelling of 151136256 in words is "one hundred fifty-one million, one hundred thirty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1447 1536 1632 2048 2176 2894 3072 3264 4341 4352 5788 6144 6528 8682 8704 11576 13056 17364 17408 23152 24599 26112 34728 34816 46304 49198 52224 69456 73797 92608 98396 104448 138912 147594 185216 196792 277824 295188 370432 393584 555648 590376 740864 787168 1111296 1180752 1481728 1574336 2222592 2361504 2963456 3148672 4445184 4723008 6297344 8890368 9446016 12594688 18892032 25189376 37784064 50378752 75568128 151136256